Question

Which of the following is divisible by $11$?

• A. $3,178$
• B. $3,25,182$
• C. $7,10,345$
• D. $4,57,192$

Answer 1

Answer: (B)

$3,25,182$

If the difference of the sum of its digits at odd places and sum of its digits at even places is either $0$ or a number divisible by $11$.

Sum of odd place digits $=2+1+2=5$
Sum of even place-digit$=8+5+3=16$
Difference of above two sums $=16-5=11$
The difference $11$ is divisible by $11$
$\therefore$ $3,25,182$ is also divisible by $11.$